Question

in the △ below, if $overline{ac}=21$ m, $overline{cp}=18$ m, and $overline{ab}=20$ m, find the area of the △abc. select one: a. 240 m² b. 96 m² c. 180 m² d. 205 m²

Explanation:

Step1: Recall triangle - area formula

The area of a triangle is given by $A=\frac{1}{2}\times base\times height$. In right - triangle $\triangle ABC$ with height $CP$ and base $AB$.

Step2: Substitute values

We are given that $AB = 20$ m (base) and $CP=18$ m (height). Substitute these values into the formula $A=\frac{1}{2}\times AB\times CP$.
$A=\frac{1}{2}\times20\times18$

Step3: Calculate the area

First, $\frac{1}{2}\times20 = 10$, then $10\times18=180$ $m^{2}$.

Answer:

C. $180$ $m^{2}$